Inclusion of the QED higher-order radiative corrections in the two-photon process e⁺e^- → e⁺e^-μ⁺μ^- is examined by means of the structure function and the parton shower. Results are compared with the exact O(α) calculations, and good agreement is found. These two methods should be universally applicable to all non-annihilation processes, such as the single-W production in e⁺e^- collisions. In this case, however, the energy scale for the evolution given by the renormalization-group equation must be chosen properly, depending on the dominant diagrams for the given process. A method to determine the most suitable energy scale is proposed.